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Can someone please help me with this (there is a part two)

Can Someone Please Help Me With This There Is A Part Two class=

Sagot :

[tex]\begin{gathered} A)1.75x\leq35 \\ x\text{ is the number of horses} \end{gathered}[/tex]

B)

[tex]\begin{gathered} 1.75x\leq35 \\ \text{divide both sides by 1.75} \\ \frac{1.75x}{1.75}\leq\frac{35}{1.75} \\ x\leq20 \end{gathered}[/tex]

so, the farm can support 20 horses at most

Explanation

Step 1

make the inequality

Let x represent the number of horses, so

if a horse needs 1. 75 acres , the number of acres needed by x horse will be x times that value

so

[tex]\begin{gathered} total\text{ acres= 1.75x} \\ \end{gathered}[/tex]

also, we are told that Sunshi acre farm has at most 35 acres available, so. in other words the total acres must be equal or smaller than 35

so

[tex]\text{tota acres}\leq35[/tex]

now, combine the expressions

[tex]\begin{gathered} total\text{ acres= 1.75x} \\ \text{tota acres}\leq35 \\ 1.75x\leq35 \end{gathered}[/tex]

Step 2

find the possible number of horses farm can support

so, let's solve for x

[tex]\begin{gathered} 1.75x\leq35 \\ \text{divide both sides by 1.75} \\ \frac{1.75x}{1.75}\leq\frac{35}{1.75} \\ x\leq20 \end{gathered}[/tex]

so, the farm can support 20 horses at most

I hope this helps you

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